Pith Number

pith:UNJSJ7IA

pith:2015:UNJSJ7IAQCXQZO2LIFY3B4C4JV

not attested not anchored not stored refs pending

An Abstract Model for Branching and its Application to Mixed Integer Programming

George L. Nemhauser, Pierre Le Bodic

arxiv:1511.01818 v3 · 2015-11-05 · math.OC · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UNJSJ7IAQCXQZO2LIFY3B4C4JV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:08:26.252142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a35324fd0080af0cbb4b4171b0f05c4d53e730a51a58d69551928a87463a3799

Aliases

arxiv: 1511.01818 · arxiv_version: 1511.01818v3 · doi: 10.48550/arxiv.1511.01818 · pith_short_12: UNJSJ7IAQCXQ · pith_short_16: UNJSJ7IAQCXQZO2L · pith_short_8: UNJSJ7IA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UNJSJ7IAQCXQZO2LIFY3B4C4JV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a35324fd0080af0cbb4b4171b0f05c4d53e730a51a58d69551928a87463a3799

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7454599c4418c5129e4b6648f47d01b27a9182d342d608864b23bef83fd3f4af",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-11-05T17:19:17Z",
    "title_canon_sha256": "6e5ca4400259848be7ca34aa96c079e008c2dab2c5d916323ec2715cd334d38e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01818",
    "kind": "arxiv",
    "version": 3
  }
}